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Finding the Third Proportional to 87,111 and 185,607

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Solution

The third proportional to 87,111 and 185,607 is: 395,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,111 : 185,607 = 185,607 : x
  2. Step 2: Convert to fraction form
    87,111/185,607 = 185,607/x
  3. Step 3: Cross multiply
    87,111x = 185,607 × 185,607
  4. Step 4: Simplify right side
    87,111x = 34,449,958,449
  5. Step 5: Solve for x
    x = 34,449,958,449/87,111
  6. Step 6: Final answer
    x = 395,471.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.